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105060006059745 = 351117932571092151
BaseRepresentation
bin10111111000110100110000…
…010101110101111011100001
3111202222122020110102022212010
4113320310300111311323201
5102232300343022402440
61011235522301223133
731062222614041122
oct2770646025657341
9452878213368763
10105060006059745
113052577556a550
12b9493bb561aa9
134681167ca9629
141bd2d07b88049
15c22cba03e580
hex5f8d30575ee1

105060006059745 has 64 divisors (see below), whose sum is σ = 184458706237440. Its totient is φ = 50638015296000.

The previous prime is 105060006059741. The next prime is 105060006059747. The reversal of 105060006059745 is 547950600060501.

It is not a de Polignac number, because 105060006059745 - 22 = 105060006059741 is a prime.

It is a super-2 number, since 2×1050600060597452 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105060006059694 and 105060006059703.

It is not an unprimeable number, because it can be changed into a prime (105060006059741) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95649420 + ... + 96741570.

It is an arithmetic number, because the mean of its divisors is an integer number (2882167284960).

Almost surely, 2105060006059745 is an apocalyptic number.

105060006059745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105060006059745 is a deficient number, since it is larger than the sum of its proper divisors (79398700177695).

105060006059745 is a wasteful number, since it uses less digits than its factorization.

105060006059745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095606.

The product of its (nonzero) digits is 1134000, while the sum is 48.

The spelling of 105060006059745 in words is "one hundred five trillion, sixty billion, six million, fifty-nine thousand, seven hundred forty-five".

Divisors: 1 3 5 11 15 33 55 165 179 537 895 1969 2685 3257 5907 9771 9845 16285 29535 35827 48855 107481 179135 537405 583003 1092151 1749009 2915015 3276453 5460755 6413033 8745045 12013661 16382265 19239099 32065165 36040983 60068305 96195495 180204915 195495029 586485087 977475145 2150445319 2932425435 3557135807 6451335957 10671407421 10752226595 17785679035 32256679785 39128493877 53357037105 117385481631 195642469385 586927408155 636727309453 1910181928359 3183636547265 7004000403983 9550909641795 21012001211949 35020002019915 105060006059745